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Finding the Fourth Proportional to 829.79, 1,244.84 and 274.47

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Solution

The fourth proportional to 829.79, 1,244.84 and 274.47 is: 411.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.79 : 1,244.84 = 274.47 : x
  2. Step 2: Convert to fraction form
    829.79/1,244.84 = 274.47/x
  3. Step 3: Cross multiply
    829.79x = 1,244.84 × 274.47
  4. Step 4: Simplify right side
    829.79x = 341,671.23
  5. Step 5: Solve for x
    x = 341,671.23/829.79
  6. Step 6: Final answer
    x = 411.76

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.